(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2
The final answer is m=-2~
The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.
From the table given, the linear regression model for the data can be expressed as :
- y = 14.02x - 3.64 ; where ;
- y = Predicted number of wins ;
- x = average number of goals per match ;
- slope = 14.02 ;
- Intercept = - 3.64
<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :
Average goals per match, x = 1.5
Substitute x = 1.5 into the equation :
y = 14.02(1.5) - 3.64
y = 17.39
y = 17 (nearest whole number)
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The constant of proportionality of y=7.25x is 7.25.